Convert 35/9 to a mixed number.
Understand the Problem
The question is asking how to convert the improper fraction 35/9 into a mixed number format. This will involve dividing the numerator by the denominator to find the whole number part and determining the remainder for the fractional part.
Answer
The mixed number is $ 3 \frac{8}{9} $.
Answer for screen readers
The mixed number is $ 3 \frac{8}{9} $.
Steps to Solve
-
Divide the Numerator by the Denominator
To begin converting the improper fraction $ \frac{35}{9} $ into a mixed number, you first need to divide the numerator (35) by the denominator (9).
$$ 35 \div 9 = 3 \text{ remainder } 8 $$
This means that 9 goes into 35 three whole times.
-
Identify the Whole Number Part
The result from the division gives us the whole number part of the mixed number.
So, the whole number part is $3$.
-
Calculate the Fractional Part
Next, take the remainder (8) and place it over the original denominator (9) to form the fractional part.
Thus, the fractional part is $ \frac{8}{9} $.
-
Combine the Whole Number and Fractional Parts
Finally, combine the whole number part with the fractional part to write the mixed number.
So, the mixed number is:
$$ 3 \frac{8}{9} $$
The mixed number is $ 3 \frac{8}{9} $.
More Information
When converting an improper fraction to a mixed number, the integer value indicates how many whole groups of the denominator can be formed, while the fraction denotes what is left over. In this case, 35 divided by 9 gives us three whole groups of 9 with 8 left over, leading us to the mixed number $3 \frac{8}{9}$.
Tips
- A common mistake is forgetting to include the remainder over the original denominator, which leads to an incorrect fractional part.
- Another mistake can be not recognizing that the integer from the division represents the whole number part of the mixed number.
AI-generated content may contain errors. Please verify critical information
